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Finding the Fourth Proportional to 190.40, 263.04 and 135.32

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Solution

The fourth proportional to 190.40, 263.04 and 135.32 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 263.04 = 135.32 : x
  2. Step 2: Convert to fraction form
    190.40/263.04 = 135.32/x
  3. Step 3: Cross multiply
    190.40x = 263.04 × 135.32
  4. Step 4: Simplify right side
    190.40x = 35,594.57
  5. Step 5: Solve for x
    x = 35,594.57/190.40
  6. Step 6: Final answer
    x = 186.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.